Stability enhanced by transient attractors in a memristive chaotic map

Abstract

The introduction of a memristor in a chaotic system can significantly modify its dynamical behavior. In this paper, we couple a discrete memristor model with a chaotic map to investigate the memristor's impact on the stability of chaotic attractors. Our results reveal that introducing the memristor substantially enlarges the basin of attraction of a given chaotic attractor, thereby enhancing its stability. This phenomenon arises as a direct consequence of the memory and switching effects introduced by the memristor, which create new paths to the chaotic attractors.